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math.MG2021
Antinorms on cones: duality and applications
Vladimir Yu. Protasov
An antinorm is a concave nonnegative homogeneous functional on a convex cone. It is shown that if the cone is polyhedral, then every antinorm has a unique continuous extension from…
math.MG2021
Tiling of polyhedral sets
Vladimir Yu. Protasov, Tatyana Zaitseva
A self-affine tiling of a compact set G of positive Lebesgue measure is its partition to parallel shifts of a compact set which is affinely similar to G. We find all polyhedral set…
math.MG2014
Matrix semigroups with constant spectral radius
Vladimir Protasov, Andrey Voynov
Multiplicative matrix semigroups with constant spectral radius (c.s.r.) are studied and applied to several problems of algebra, combinatorics, functional equations, and dynamical s…